Perform the indicated operation and write your answer in standard form.

A. 6 - 4i
B. 6 + 4i
C. 6 - i
D. 6 + i

Answer: C

Mathematics

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Solve the problem.The van der Waals equation provides an approximate model for the behavior of real gases. The equation is P(V, T) = - , where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the partial derivative of the function with respect to each of the independent variables.

A. P_V =  - ; P_T =
B. P_V = ; P_T =  -
C. P_V = -  + ; P_T =
D. P_V =  - ; P_T =

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Mathematics

Solve the differential equation.y' + 2y = 25

A. y = 25 + ce^2x
B. y =  + e^2x + ce^-2x
C. y =  + ce^2x
D. y =  + ce^-2x

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Mathematics

Solve for the amount of discount and amount due.Invoice amt: $36.39Invoice date: May 5Terms: 2/10, net 30Date paid: May 14

A. Amount of discount: $0; amount due: $36.39 B. Amount of discount: $3.64; amount due: $32.75 C. Amount of discount: $7.28; amount due: $29.11 D. Amount of discount: $0.73; amount due: $35.66

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Mathematics

Graph a line that is perpendicular to the given line and passes through the given point.

A.

B.

C.

D.

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Mathematics